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Finding the Fourth Proportional to 1,395.31, 2,092.82 and 421.19

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Solution

The fourth proportional to 1,395.31, 2,092.82 and 421.19 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.31 : 2,092.82 = 421.19 : x
  2. Step 2: Convert to fraction form
    1,395.31/2,092.82 = 421.19/x
  3. Step 3: Cross multiply
    1,395.31x = 2,092.82 × 421.19
  4. Step 4: Simplify right side
    1,395.31x = 881,474.86
  5. Step 5: Solve for x
    x = 881,474.86/1,395.31
  6. Step 6: Final answer
    x = 631.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.